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Thiscovers: Probability, Binomial and Normal Distribution

QUESTION 1 A basket contains 5 yellow balls and T green balls. Three balls have been randomly taken from the basket without replacement What is the probability that all three taken balls are yellow? Round your answer to 2 decimal places. For example. for probability [1.561 2. type 0.56. QUESTION 2 If A and B are independent events with P(A) = 0.65 and P(A ( B) = 0.26 , then compute P(B) with 3 decimals.QUESTIDN 3 Business Poor Medium Excellent Unit Performance Pe rformanoe Performance A 34 55 ET 156 El :35 14 E? 15? C 31 45 90 216 191 124 224 539 Take a look at the table which shows the structure of a small production facility. The numbers in the table stand for the number of employees working in a specic business unit and having specic performance level. An employee is selected at random. Find the EDRREEI' statemenls. Keep in mind that the mark will be reduced for incorrect answers - do not guess. All probabilities have been rounded to three decimal places. E] The probability that an employee is from business unit (I. or that an employee has excellent performance is {1.816 E] The probability that an employee does not have excellent performance is {1416 E] The probability that an employee has an excellent performance. given that the employee is from business units. is 0.404 E] The probability that an employee is from business unit B and has medium performance is 0.025 QUESTION 4 Find the probability to obtain the sequence HTHT, when 4 coins are tossed one after another. Here H is "Head" and T is "Tail". Round your answer to 4 decimal places. For example, for probability 0.34123, type 0.3412QUESTION 5 For the standard normal distribution, compute Zo,69. Use Excel and round the answer to two decimal places